Question

what is the slope of this line? simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Identify slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.

Step2: Select two points

We have the points $(0,18)$ and $(12,36)$. Let $(x_1,y_1)=(0,18)$ and $(x_2,y_2)=(12,36)$.

Step3: Substitute values

Substitute into the slope - formula: $m=\frac{36 - 18}{12-0}$.

Step4: Simplify

$\frac{36 - 18}{12-0}=\frac{18}{12}=\frac{3}{2}$.

Answer:

$\frac{3}{2}$